Details
| Original language | English |
|---|---|
| Pages (from-to) | 268-286 |
| Number of pages | 19 |
| Journal | Quantum |
| Volume | 4 |
| Publication status | Published - 15 May 2020 |
Abstract
Keywords
- quant-ph, physics.atom-ph
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Atomic and Molecular Physics, and Optics
- Physics and Astronomy(all)
- Physics and Astronomy (miscellaneous)
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In: Quantum, Vol. 4, 15.05.2020, p. 268-286.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Ramsey interferometry with generalized one-axis twisting echoes
AU - Schulte, Marius
AU - Martínez-Lahuerta, Victor J.
AU - Scharnagl, Maja S.
AU - Hammerer, Klemens
N1 - Funding Information: We would like to thank C. Klempt for helpful discussions and J.P. Home for commenting on the possible connection to GKP protocols. This work was funded by the Deutsche Forschungsgemein-schaft (DFG, German Research Foundation) under Germany’s Excellence Strategy – EXC-2123 QuantumFrontiers – 390837967 and CRC 1227 ‘DQ-mat’ project A06. The publication of this article was funded by the Open Access Fund of Leibniz Universität Hannover.
PY - 2020/5/15
Y1 - 2020/5/15
N2 - We consider a large class of Ramsey interferometry protocols which are enhanced by squeezing and un-squeezing operations before and after a phase signal is imprinted on the collective spin of N particles. We report an analytical optimization for any given particle number and strengths of (un-)squeezing. These results can be applied even when experimentally relevant decoherence processes during the squeezing and un-squeezing interactions are included. Noise between the two interactions is however not considered in this work. This provides a generalized characterization of squeezing echo protocols, recovering a number of known quantum metrological protocols as local sensitivity maxima, thereby proving their optimality. We discover a single new protocol. Its sensitivity enhancement relies on a double inversion of squeezing. In the general class of echo protocols, the newly found over-un-twisting protocol is singled out due to its Heisenberg scaling even at strong collective dephasing.
AB - We consider a large class of Ramsey interferometry protocols which are enhanced by squeezing and un-squeezing operations before and after a phase signal is imprinted on the collective spin of N particles. We report an analytical optimization for any given particle number and strengths of (un-)squeezing. These results can be applied even when experimentally relevant decoherence processes during the squeezing and un-squeezing interactions are included. Noise between the two interactions is however not considered in this work. This provides a generalized characterization of squeezing echo protocols, recovering a number of known quantum metrological protocols as local sensitivity maxima, thereby proving their optimality. We discover a single new protocol. Its sensitivity enhancement relies on a double inversion of squeezing. In the general class of echo protocols, the newly found over-un-twisting protocol is singled out due to its Heisenberg scaling even at strong collective dephasing.
KW - quant-ph
KW - physics.atom-ph
UR - http://www.scopus.com/inward/record.url?scp=85091985154&partnerID=8YFLogxK
U2 - 10.48550/arXiv.1911.11801
DO - 10.48550/arXiv.1911.11801
M3 - Article
VL - 4
SP - 268
EP - 286
JO - Quantum
JF - Quantum
SN - 2521-327X
ER -